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Compute each part of given problem:

Problem: The angular position of a point on the rim of a rotating wheel is given by theta = 2.7t + 4.8t² + 1.5t³, where theta is in radians if t is given in seconds.

Part I: What is the angular speed at t = 2.0 s?

Part II: What is the angular speed at t = 6.0 s?

Part III: What is the average angular acceleration for the time interval that begins at t = 2.0 s and ends at t = 6.0 s?

Part IV: What is the instantaneous angular acceleration at t = 6.0 s?

I want you to explain the physics in this problem.

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